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400014040 = 23541243911
BaseRepresentation
bin10111110101111…
…011101011011000
31000212200211002211
4113311323223120
51304400422130
6103405404504
712625030456
oct2765735330
91025624084
10400014040
11195885518
12b1b69734
1364b47aca
143b1a99d6
15251b7a2a
hex17d7bad8

400014040 has 32 divisors (see below), whose sum is σ = 921987360. Its totient is φ = 156102400.

The previous prime is 400014037. The next prime is 400014047. The reversal of 400014040 is 40410004.

It is a happy number.

It is a super-2 number, since 2×4000140402 = 320022464394243200, which contains 22 as substring.

400014040 is a modest number, since divided by 14040 gives 400 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 400014040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400014047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120316 + ... + 123595.

It is an arithmetic number, because the mean of its divisors is an integer number (28812105).

Almost surely, 2400014040 is an apocalyptic number.

400014040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400014040 is an abundant number, since it is smaller than the sum of its proper divisors (521973320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400014040 is a wasteful number, since it uses less digits than its factorization.

400014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243963 (or 243959 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 400014040 is about 20000.3509969200. The cubic root of 400014040 is about 736.8149202609.

Adding to 400014040 its reverse (40410004), we get a palindrome (440424044).

The spelling of 400014040 in words is "four hundred million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 243911 487822 975644 1219555 1951288 2439110 4878220 9756440 10000351 20000702 40001404 50001755 80002808 100003510 200007020 400014040